The sum of two opposite interior angles of a triangle is equal to the opposite exterior angle of a triangle
Therefore,
( 5x - 101 )° + ( x + 36 )° = ( 9x - 164 )°
5x + x - 106 + 36 = 9x - 164
6x - 65 = 9x - 164
6x - 9x = - 164 + 65
- 3x / - 3 = - 99 / - 3
x = 33
The first interior angle
= ( 5x - 101 )°
= ( 5 ( 33 ) - 101 ) °
= ( 165 - 101 )°
= 64°
The second interior angle
= ( x + 36 )°
= ( 33 + 36 )°
= 69°
The exterior angle
= ( 9x - 164 )°
= ( 9 ( 33 ) - 164 )°
= ( 297 - 164 )°
= 133°